The acceleration of the reciprocating roller follower when it has contact with the straight flanks of the tangent cam, is given by

A $${\omega ^2}\left( {{{\text{r}}_1}{{\text{r}}_2}} \right)\left( {1 - {{\cos }^2}\theta } \right)$$
B $${\omega ^2}\left( {{{\text{r}}_1} + {{\text{r}}_2}} \right)\left( {1 + {{\cos }^2}\theta } \right)$$
C $${\omega ^2}\left( {{{\text{r}}_1} + {{\text{r}}_2}} \right)\left( {\frac{{2 - {{\cos }^2}\theta }}{{{{\cos }^3}\theta }}} \right)$$
D $${\omega ^2}\left( {{{\text{r}}_1} - {{\text{r}}_2}} \right)\left( {1 - {{\sin }^2}\theta } \right)$$

Correct Answer: $${\omega ^2}\left( {{{\text{r}}_1} + {{\text{r}}_2}} \right)\left( {\frac{{2 - {{\cos }^2}\theta }}{{{{\cos }^3}\theta }}} \right)$$

Bissoy MCQ
#Mechanical Engineering #Theory of Machine

Related Questions

The velocity of the reciprocating roller follower when it has contact with the straight flanks of the tangent cam, is given by (where $$\omega $$ = Angular velocity of the cam shaft)
A $$\omega \left( {{{\text{r}}_1}{{\text{r}}_2}} \right)\sin \theta $$
B $$\omega \left( {{{\text{r}}_1} + {{\text{r}}_2}} \right)\sin \theta \sec 2\theta $$
C $$\omega \left( {{{\text{r}}_1}{{\text{r}}_2}} \right)\cos \theta $$
D $$\omega \left( {{{\text{r}}_1} + {{\text{r}}_2}} \right)\cos \theta \,{\text{cosec2}}\theta $$
In a circular arc cam with roller follower, the acceleration in any position of the lift will depend only upon
A Total lift, total angle of lift, minimum radius of cam and cam speed
B Radius of circular arc, cam speed, location of centre of circular arc and roller diameter
C Mass of cam follower linkage, spring stiffness and cam speed
D Total lift, centre of gravity of the cam and cam speed
The acceleration of a flat-faced follower when it has contact with the flank of a circular arc cam, is given by
A $${\omega ^2}{\text{R}}\cos \theta $$
B $${\omega ^2}\left( {{\text{R}} - {{\text{r}}_1}} \right)\cos \theta $$
C $${\omega ^2}\left( {{\text{R}} - {{\text{r}}_1}} \right)\sin \theta $$
D $${\omega ^2}{{\text{r}}_1}\sin \theta $$
A cam with a roller follower would constitute following type of pair
A Lower pair
B Higher pair
C Open pair
D Close pair
The period during which the cam follower remains at rest, when cam moves, is known as
A Constant period
B Fixed period
C Dwell period
D Idle period
Choose the sentence (s) in which the word 'straight means 'honest or frank'. (1) Draw a straight line through the two points. (2) You are not being straight with me, even though you know that I like straight answers. (3) It was a straight choice between taking or leaving the offer of friendship.
A (1)
B (3)
C (1) and (2)
D 1) and (3)
The primary unbalanced force due to inertia of reciprocating parts in a reciprocating engine is given by (where m = Mass of reciprocating parts, $$\omega $$ = Angular speed of crank, r = Radius of crank, $$\theta $$ = Angle of inclination of crank with the line of stroke and n = Ratio of the length of connecting rod to radius of crank)
A $${\text{m}}{\omega ^2}{\text{r}}\sin \theta $$
B $${\text{m}}{\omega ^2}{\text{r}}\cos \theta $$
C $${\text{m}}{\omega ^2}{\text{r}}\frac{{\sin 2\theta }}{{\text{n}}}$$
D $${\text{m}}{\omega ^2}{\text{r}}\frac{{\cos2\theta }}{{\text{n}}}$$
The secondary unbalanced force due to inertia of reciprocating parts in a reciprocating engine is given by (where m = Mass of reciprocating parts, $$\omega $$ = Angular speed of crank, r = Radius of crank, $$\theta $$ = Angle of inclination of crank with the line of stroke and n = Ratio of the length of connecting rod to radius of crank)
A $${\text{m}}{\omega ^2}{\text{r}}\sin \theta $$
B $${\text{m}}{\omega ^2}{\text{r}}\cos \theta $$
C $${\text{m}}{\omega ^2}{\text{r}}\frac{{\sin 2\theta }}{{\text{n}}}$$
D $${\text{m}}{\omega ^2}{\text{r}}\frac{{\cos2\theta }}{{\text{n}}}$$
The velocity of a flat-faced follower when it has contact with the flank of a circular arc cam, is given by
A $$\omega {\text{R}}\cos \theta $$
B $$\omega \left( {{\text{R}} - {{\text{r}}_1}} \right)\cos \theta $$
C $$\omega \left( {{\text{R}} - {{\text{r}}_1}} \right)\sin \theta $$
D $$\omega {{\text{r}}_1}\sin \theta $$
The retardation of a flat faced follower when it has contact at the apex of the nose of a circular arc cam, is given by (where OQ = Distance between the centre of circular flank and centre of nose)
A $${\omega ^2} \times {\text{OQ}}$$
B $${\omega ^2} \times {\text{OQ}}\sin \theta $$
C $${\omega ^2} \times {\text{OQ}}\cos \theta $$
D $${\omega ^2} \times {\text{OQtan}}\theta $$

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